2(t+18)=-3(2-t)

Solution for 2(t+18)=-3(2-t) equation:

Simplifying
2(t + 18) = -3(2 + -1t)

Reorder the terms:
2(18 + t) = -3(2 + -1t)
(18 * 2 + t * 2) = -3(2 + -1t)
(36 + 2t) = -3(2 + -1t)
36 + 2t = (2 * -3 + -1t * -3)
36 + 2t = (-6 + 3t)

Solving
36 + 2t = -6 + 3t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-3t' to each side of the equation.
36 + 2t + -3t = -6 + 3t + -3t

Combine like terms: 2t + -3t = -1t
36 + -1t = -6 + 3t + -3t

Combine like terms: 3t + -3t = 0
36 + -1t = -6 + 0
36 + -1t = -6

Add '-36' to each side of the equation.
36 + -36 + -1t = -6 + -36

Combine like terms: 36 + -36 = 0
0 + -1t = -6 + -36
-1t = -6 + -36

Combine like terms: -6 + -36 = -42
-1t = -42

Divide each side by '-1'.
t = 42

Simplifying
t = 42